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113542830 = 23351729853
BaseRepresentation
bin1101100010010…
…00011010101110
321220122120111000
412301020122232
5213031332310
615133341130
72546045442
oct661103256
9256576430
10113542830
1159101455
12320377a6
131a6a5b0b
1411118822
159e7c4c0
hex6c486ae

113542830 has 128 divisors (see below), whose sum is σ = 332035200. Its totient is φ = 27482112.

The previous prime is 113542811. The next prime is 113542831. The reversal of 113542830 is 38245311.

It is a happy number.

113542830 is a `hidden beast` number, since 113 + 542 + 8 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 113542794 and 113542803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113542831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132684 + ... + 133536.

It is an arithmetic number, because the mean of its divisors is an integer number (2594025).

Almost surely, 2113542830 is an apocalyptic number.

113542830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113542830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166017600).

113542830 is an abundant number, since it is smaller than the sum of its proper divisors (218492370).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113542830 is a wasteful number, since it uses less digits than its factorization.

113542830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 113542830 is about 10655.6477982336. The cubic root of 113542830 is about 484.2317237284.

The spelling of 113542830 in words is "one hundred thirteen million, five hundred forty-two thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 29 30 34 45 51 54 58 85 87 90 102 135 145 153 170 174 255 261 270 290 306 435 459 493 510 522 765 783 853 870 918 986 1305 1479 1530 1566 1706 2295 2465 2559 2610 2958 3915 4265 4437 4590 4930 5118 7395 7677 7830 8530 8874 12795 13311 14501 14790 15354 22185 23031 24737 25590 26622 29002 38385 43503 44370 46062 49474 66555 72505 74211 76770 87006 115155 123685 130509 133110 145010 148422 217515 222633 230310 247370 261018 371055 391527 420529 435030 445266 652545 667899 742110 783054 841058 1113165 1261587 1305090 1335798 1957635 2102645 2226330 2523174 3339495 3784761 3915270 4205290 6307935 6678990 7569522 11354283 12615870 18923805 22708566 37847610 56771415 113542830